Answer:
Ann had $296 money at first.
Step-by-step explanation:
Let the money her sister have be 'x'.
Given:
Ann had $198 more than her sister.
So we can say that;
Money Ann had = [tex]x+198[/tex]
Now Given:
mother gave Ann $20 and her sister $60.
Now,
Money Ann had after mother gave her money = [tex]x+198+20 = x+218[/tex]
Money her sister had after mother gave her money = [tex]x+60[/tex]
Also given:
Ann had twice as much money as her sister.
So we can say that Money Ann had after mother gave her money is equal to 2 times Money her sister had after mother gave her money.
framing in equation form we get;
[tex]x+218=2(x+60)[/tex]
Applying Distributive property we get;
[tex]x+218=2x+120[/tex]
Combining like terms we get;
[tex]2x-x=218-120\\\\x = \$98[/tex]
Money sister had first = $98
Money Ann had first = [tex]x+198 = 98+198 = \$296[/tex]
Hence Ann had $296 money at first.
